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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Anick’s spaces and the double loops of odd primary Moore spaces
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by Stephen D. Theriault PDF
Trans. Amer. Math. Soc. 353 (2001), 1551-1566 Request permission

Abstract:

Several properties of Anick’s spaces are established which give a retraction of Anick’s $\Omega T_\infty$ off $\Omega ^2P^{2np+1}(p^r)$ if $r\ge 2$ and $p\ge 5$. The proof is alternate to and more immediate than the two proofs of Neisendorfer’s.
References
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Additional Information
  • Stephen D. Theriault
  • Affiliation: Department of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60607
  • Address at time of publication: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
  • MR Author ID: 652604
  • Email: st7b@virginia.edu
  • Received by editor(s): December 1, 1998
  • Published electronically: October 11, 2000
  • Additional Notes: The author was supported in part by an NSERC Postdoctoral Fellowship
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 1551-1566
  • MSC (2000): Primary 55P35; Secondary 55Q25
  • DOI: https://doi.org/10.1090/S0002-9947-00-02622-2
  • MathSciNet review: 1709779